1
AIEEE 2004
+4
-1
A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement $$x$$ is proportional to
A
$$x$$
B
$${e^x}$$
C
$${x^2}$$
D
$${\log _e}x$$
2
AIEEE 2004
+4
-1
A uniform chain of length $$2$$ $$m$$ is kept on a table such that a length of $$60$$ $$cm$$ hangs freely from the edge of the table. The total mass of the chain is $$4$$ $$kg.$$ What is the work done in pulling the entire chain on the table?
A
$$12$$ $$J$$
B
$$3.6$$ $$J$$
C
$$7.2$$ $$J$$
D
$$1200$$ $$J$$
3
AIEEE 2004
+4
-1
A force $$\overrightarrow F = \left( {5\overrightarrow i + 3\overrightarrow j + 2\overrightarrow k } \right)N$$ is applied over a particle which displaces it from its origin to the point $$\overrightarrow r = \left( {2\overrightarrow i - \overrightarrow j } \right)m.$$ The work done on the particle in joules is
A
$$+10$$
B
$$+7$$
C
$$-7$$
D
$$+13$$
4
AIEEE 2004
+4
-1
A body of mass $$' m ',$$ acceleration uniformly from rest to $$'{v_1}'$$ in time $${T}$$. The instantaneous power delivered to the body as a function of time is given by
A
$${{m{v_1}{t^2}} \over {{T}}}$$
B
$${{mv_1^2t} \over {T^2}}$$
C
$${{m{v_1}t} \over {{T}}}$$
D
$${{mv_1^2t} \over {{T}}}$$
EXAM MAP
Medical
NEET